What is factor 9x^4+26x^2y^2+25y^4 ?

The solution to factor 9x^4+26x^2y^2+25y^4 is (3x^2+5y^2+2xy)(3x^2+5y^2-2xy)

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factor 9x^4+26x^2y^2+25y^4

factor

9 x^{4} + 26 x^{2} y^{2} + 25 y^{4}

(3 x^{2} + 5 y^{2} + 2 x y) (3 x^{2} + 5 y^{2} - 2 x y)

Solution steps

9 x^{4} + 26 x^{2} y^{2} + 25 y^{4}

Add and subtract

4 x^{2} y^{2}

= 9 x^{4} + 30 x^{2} y^{2} + 25 y^{4} - 4 x^{2} y^{2}

Factor

9 x^{4} + 30 x^{2} y^{2} + 25 y^{4} : (3 x^{2} + 5 y^{2})^{2}

= (3 x^{2} + 5 y^{2})^{2} - 4 x^{2} y^{2}

Apply exponent rules

= (3 x^{2} + 5 y^{2})^{2} - (2 x y)^{2}

Factor

(3 x^{2} + 5 y^{2})^{2} - (2 x y)^{2} : (3 x^{2} + 5 y^{2} + 2 x y) (3 x^{2} + 5 y^{2} - 2 x y)

= (3 x^{2} + 5 y^{2} + 2 x y) (3 x^{2} + 5 y^{2} - 2 x y)

(\frac{x ^{- 3}}{y ^{3}})^{- 7}

(3 x^{2})^{- 3} \cdot (x^{9})^{\frac{2}{3}}

48 x - 51 y

(4 b + 8) + (7 b + 3)

- 4 (3 x^{- 2} y^{4})^{- 1}

What is factor 9x^4+26x^2y^2+25y^4 ?
The solution to factor 9x^4+26x^2y^2+25y^4 is (3x^2+5y^2+2xy)(3x^2+5y^2-2xy)